10100919101 has 16 divisors (see below), whose sum is σ = 12450178944. Its totient is φ = 7980185664.

The previous prime is 10100919083. The next prime is 10100919113. The reversal of 10100919101 is 10191900101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100919101 - 2¹⁴ = 10100902717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100919151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19106 + ... + 143411.

It is an arithmetic number, because the mean of its divisors is an integer number (778136184).

Almost surely, 2^10100919101 is an apocalyptic number.

It is an amenable number.

10100919101 is a deficient number, since it is larger than the sum of its proper divisors (2349259843).

10100919101 is a wasteful number, since it uses less digits than its factorization.

10100919101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163220.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 10100919101 in words is "ten billion, one hundred million, nine hundred nineteen thousand, one hundred one".